1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
|
/* Test file for mpfr_get_f.
Copyright 2005-2015 Free Software Foundation, Inc.
Contributed by the AriC and Caramel projects, INRIA.
This file is part of the GNU MPFR Library.
The GNU MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.
The GNU MPFR Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
#include <stdio.h>
#include <stdlib.h>
#include <limits.h>
#include "mpfr-test.h"
/* Test that there is no lost of accuracy when converting a mpfr_t number
into a mpf_t number (test with various precisions and exponents). */
static void
prec_test (void)
{
int px, py;
for (py = 3; py <= 136; py++)
{
mpfr_t y1, y2, y3;
mpfr_init2 (y1, py);
mpfr_init2 (y2, py);
mpfr_init2 (y3, py);
for (px = 32; px <= 160; px += 32)
{
mpf_t x1, x2, x3;
int e;
mpf_init (x1);
mpf_init (x2);
mpf_init (x3);
mpfr_set_ui_2exp (y1, 1, py - 1, MPFR_RNDN);
mpfr_get_f (x1, y1, MPFR_RNDN); /* exact (power of 2) */
mpf_set (x2, x1);
mpfr_set (y2, y1, MPFR_RNDN);
for (e = py - 2; e >= 0; e--)
{
int inex;
mpf_div_2exp (x2, x2, 1);
mpf_add (x1, x1, x2);
mpfr_div_2exp (y2, y2, 1, MPFR_RNDN);
inex = mpfr_add (y1, y1, y2, MPFR_RNDN);
MPFR_ASSERTN (inex == 0);
mpfr_set_f (y3, x1, MPFR_RNDN);
if (! mpfr_equal_p (y1, y3))
break;
inex = mpfr_get_f (x3, y3, MPFR_RNDN);
if (mpf_cmp (x1, x3) != 0)
{
printf ("Error in prec_test (px = %d, py = %d, e = %d)\n",
px, py, e);
printf ("x1 = ");
mpf_out_str (stdout, 16, 0, x1);
printf ("\nx2 = ");
mpf_out_str (stdout, 16, 0, x2);
printf ("\n");
exit (1);
}
if (inex != 0)
{
printf ("Error in prec_test (px = %d, py = %d, e = %d)\n",
px, py, e);
printf ("wrong ternary value got: %+d, expected: 0\n",
inex);
exit (1);
}
}
mpf_clear (x1);
mpf_clear (x2);
mpf_clear (x3);
}
mpfr_clear (y1);
mpfr_clear (y2);
mpfr_clear (y3);
}
}
static void
special_test (void)
{
int inex;
mpf_t x;
mpfr_t y;
mpfr_init (y);
mpf_init (x);
mpfr_set_nan (y);
mpfr_clear_flags ();
mpfr_get_f (x, y, MPFR_RNDN);
if (! mpfr_erangeflag_p ())
{
printf ("Error: mpfr_get_f(NaN) should raise erange flag\n");
exit (1);
}
mpfr_set_inf (y, +1);
mpfr_clear_flags ();
inex = mpfr_get_f (x, y, MPFR_RNDN);
if (inex >= 0)
{
printf ("Error: mpfr_get_f(+Inf) should return a negative ternary"
"value\n");
exit (1);
}
if (! mpfr_erangeflag_p ())
{
printf ("Error: mpfr_get_f(+Inf) should raise erange flag\n");
exit (1);
}
mpfr_set_inf (y, -1);
mpfr_clear_flags ();
inex = mpfr_get_f (x, y, MPFR_RNDN);
if (inex <= 0)
{
printf ("Error: mpfr_get_f(-Inf) should return a positive ternary"
"value\n");
exit (1);
}
if (! mpfr_erangeflag_p ())
{
printf ("Error: mpfr_get_f(-Inf) should raise erange flag\n");
exit (1);
}
mpfr_set_ui (y, 0, MPFR_RNDN);
if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, 0))
{
printf ("Error: mpfr_get_f(+0) fails\n");
exit (1);
}
mpfr_set_ui (y, 0, MPFR_RNDN);
mpfr_neg (y, y, MPFR_RNDN);
if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, 0))
{
printf ("Error: mpfr_get_f(-0) fails\n");
exit (1);
}
mpfr_clear (y);
mpf_clear (x);
}
static void
ternary_test (void)
{
int prec;
int rnd;
int inex, expected_inex;
mpf_t x;
mpfr_t y;
mpf_init2 (x, 256);
mpfr_init2 (y, 256);
for (prec = 2; prec <= 256; prec++)
{
mpf_set_prec (x, prec);
mpfr_set_prec (y, PREC (x) * GMP_NUMB_BITS + 1);
/* y == 1 */
mpfr_set_ui_2exp (y, 1, prec, MPFR_RNDN);
RND_LOOP (rnd)
{
inex = mpfr_get_f (x, y, (mpfr_rnd_t) rnd);
if (inex != 0 || mpfr_cmp_f (y, x) !=0)
{
printf ("Error in mpfr_get_f (x, y, %s)\nx = ",
mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
mpf_out_str (stdout, 2, 0, x);
printf ("\ny = ");
mpfr_dump (y);
if (inex != 0)
printf ("got ternary value = %+d, expected: 0\n", inex);
exit (1);
}
}
/* y == 1 + epsilon */
mpfr_nextbelow (y);
RND_LOOP (rnd)
{
switch (rnd)
{
case MPFR_RNDU: case MPFR_RNDA:
case MPFR_RNDN:
expected_inex = +1;
break;
default :
expected_inex = -1;
}
inex = mpfr_get_f (x, y, (mpfr_rnd_t) rnd);
if (! SAME_SIGN (expected_inex, inex)
|| SAME_SIGN (expected_inex, mpfr_cmp_f (y, x)))
{
printf ("Error in mpfr_get_f (x, y, %s)\nx = ",
mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
mpf_out_str (stdout, 2, 0, x);
printf ("\ny = ");
mpfr_dump (y);
if (! SAME_SIGN (expected_inex, inex))
printf ("got ternary value = %+d, expected: %+d\n",
inex, expected_inex);
exit (1);
}
}
/* y == positive random float */
mpfr_random2 (y, MPFR_LIMB_SIZE (y), 1024, RANDS);
RND_LOOP (rnd)
{
inex = mpfr_get_f (x, y, (mpfr_rnd_t) rnd);
if (! SAME_SIGN (inex, -mpfr_cmp_f (y, x)))
{
printf ("Error in mpfr_get_f (x, y, %s)\nx = ",
mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
mpf_out_str (stdout, 2, 0, x);
printf ("\ny = ");
mpfr_dump (y);
printf ("got ternary value = %+d, expected: %+d\n",
inex, -mpfr_cmp_f (y, x));
exit (1);
}
}
}
mpf_clear (x);
mpfr_clear (y);
}
int
main (void)
{
mpf_t x;
mpfr_t y, z;
unsigned long i;
mpfr_exp_t e;
int inex;
tests_start_mpfr ();
mpfr_init (y);
mpfr_init (z);
mpf_init (x);
i = 1;
while (i)
{
mpfr_set_ui (y, i, MPFR_RNDN);
if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, i))
{
printf ("Error: mpfr_get_f(%lu) fails\n", i);
exit (1);
}
if (i <= - (unsigned long) LONG_MIN)
{
long j = i < - (unsigned long) LONG_MIN ? - (long) i : LONG_MIN;
mpfr_set_si (y, j, MPFR_RNDN);
if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_si (x, j))
{
printf ("Error: mpfr_get_f(-%lu) fails\n", i);
exit (1);
}
}
i *= 2;
}
/* same tests, but with a larger precision for y, which requires to
round it */
mpfr_set_prec (y, 100);
i = 1;
while (i)
{
mpfr_set_ui (y, i, MPFR_RNDN);
inex = mpfr_get_f (x, y, MPFR_RNDN);
if (! SAME_SIGN (inex, - mpfr_cmp_f (y, x)) || mpf_cmp_ui (x, i))
{
printf ("Error: mpfr_get_f(%lu) fails\n", i);
exit (1);
}
mpfr_set_si (y, (signed long) -i, MPFR_RNDN);
inex = mpfr_get_f (x, y, MPFR_RNDN);
if (! SAME_SIGN (inex, - mpfr_cmp_f (y, x))
|| mpf_cmp_si (x, (signed long) -i))
{
printf ("Error: mpfr_get_f(-%lu) fails\n", i);
exit (1);
}
i *= 2;
}
/* bug reported by Jim White */
for (e = 0; e <= 2 * GMP_NUMB_BITS; e++)
{
/* test with 2^(-e) */
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_div_2exp (y, y, e, MPFR_RNDN);
inex = mpfr_get_f (x, y, MPFR_RNDN);
mpf_mul_2exp (x, x, e);
if (inex != 0 || mpf_cmp_ui (x, 1) != 0)
{
printf ("Error: mpfr_get_f(x,y,MPFR_RNDN) fails\n");
printf ("y=");
mpfr_dump (y);
printf ("x=");
mpf_div_2exp (x, x, e);
mpf_out_str (stdout, 2, 0, x);
exit (1);
}
/* test with 2^(e) */
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_mul_2exp (y, y, e, MPFR_RNDN);
inex = mpfr_get_f (x, y, MPFR_RNDN);
mpf_div_2exp (x, x, e);
if (inex != 0 || mpf_cmp_ui (x, 1) != 0)
{
printf ("Error: mpfr_get_f(x,y,MPFR_RNDN) fails\n");
printf ("y=");
mpfr_dump (y);
printf ("x=");
mpf_mul_2exp (x, x, e);
mpf_out_str (stdout, 2, 0, x);
exit (1);
}
}
/* Bug reported by Yury Lukach on 2006-04-05 */
mpfr_set_prec (y, 32);
mpfr_set_prec (z, 32);
mpf_set_prec (x, 32);
mpfr_set_ui_2exp (y, 0xc1234567, -30, MPFR_RNDN);
mpfr_get_f (x, y, MPFR_RNDN);
inex = mpfr_set_f (z, x, MPFR_RNDN);
if (inex != 0 || ! mpfr_equal_p (y, z))
{
printf ("Error in mpfr_get_f:\n inex = %d, y = ", inex);
mpfr_dump (z);
printf ("Expected:\n inex = 0, y = ");
mpfr_dump (y);
exit (1);
}
mpfr_clear (y);
mpfr_clear (z);
mpf_clear (x);
special_test ();
prec_test ();
ternary_test ();
tests_end_mpfr ();
return 0;
}
|